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Compact Lie algebras, transversely Lie foliations and fibrations

2009/10/06 by Marcelo Tavares, Tavares, Marcelo
Mathematics · #53C12 #57R30 #58A30 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:53C12 #msc:57R30 #msc:58A30

paper · pdf · doi:10.48550/arxiv.0910.1033

18 pages

arxiv created 2010/07/15 · arxiv updated 2010/07/16

Abstract

We study Lie foliations on compact manifolds, in case the Lie group is compact. Our main results improve Tischler classical result on the existence of fibration and, as an application, we study the case the manifold has an amenable fundamental group.

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